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Nezavi [6.7K]
3 years ago
7

A water tank that holds 30 gallons of water when full is leaking 3/4 gallon of water every hour. If no one notices and stops the

leak, how loamy hours will it have taken for the full water tank to become empty
Mathematics
1 answer:
viva [34]3 years ago
7 0
It will take 40 hours for the water tank to become empty.

Explanation:
Divide 30 by 0.75 (equivalent to 3/4). 
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1   1   1        2
2  -3   1      -11            -2R1 + R2 → R2
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1    1    1      2
0    -5  -1   -15             R2 ⇔ R3
0    3    0     10

1    1    1      2
0    3    0     10             -R3
0   -5   -1    -15

1    1    1      2
0    3    0     10             1/3 R2
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1    1    1      2                   -R2 + R1
0    1    0     10/3             -5R2 + R3
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1    0    1      -4/3              
0    1    0     10/3             -R3 + R1
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1    0    0       1/3             
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